pair_edip.tex
No OneTemporary
Actions

Subscribers

None

File Metadata

	\documentclass[12pt]{article}

	\usepackage{amssymb,amsmath}

	\begin{document}

	\begin{eqnarray*}
	E & = & \sum_{j \ne i} \phi_{2}(R_{ij}, Z_{i}) + \sum_{j \ne i} \sum_{k \ne i,k > j} \phi_{3}(R_{ij}, R_{ik}, Z_{i}) \\
	\phi_{2}(r, Z) & = & A\left[\left(\frac{B}{r}\right)^{\rho} - e^{-\beta Z^2}\right]exp{\left(\frac{\sigma}{r-a}\right)} \\
	\phi_{3}(R_{ij}, R_{ik}, Z_i) & = & exp{\left(\frac{\gamma}{R_{ij}-a}\right)}exp{\left(\frac{\gamma}{R_{ik}-a}\right)}h(cos\theta_{ijk},Z_i) \\
	Z_i & = & \sum_{m \ne i} f(R_{im}) \qquad
	f(r) = \begin{cases}
	1 & \quad r<c \\
	\exp\left(\frac{\alpha}{1-x^{-3}}\right) & \quad c<r<a \\
	0 & \quad r>a
	\end{cases} \\
	h(l,Z) & = & \lambda [(1-e^{-Q(Z)(l+\tau(Z))^2}) + \eta Q(Z)(l+\tau(Z))^2 ] \\
	Q(Z) & = & Q_0 e^{-\mu Z} \qquad \tau(Z) = u_1 + u_2 (u_3 e^{-u_4 Z} - e^{-2u_4 Z})
	\end{eqnarray*}

	\end{document}